Let’s analyze the box-and-whisker plots for City A and City B to answer the questions step by step:

Observations:

1. Median:

   • City A's median noon temperature appears around 73°F.
   • City B's median is closer to 70°F.

2. Temperatures Above 73°F:

   • City A has its upper quartile (Q3) and part of the whisker above 73°F, which means more values are above this threshold.
   • City B has its Q3 below 73°F, meaning fewer values are above 73°F.

3. Interquartile Range (IQR):

   • The IQR is represented by the length of the box (Q3 - Q1).
   • City A’s box is wider than City B’s box, meaning City A has a larger IQR.

4. Highest Temperature:

   • The maximum (end of the whisker) for City A is around 85°F, while City B’s maximum temperature is 95°F.
   • Therefore, City B has the highest noon temperature.

Answers:

(a) Which city had more noon temperatures above 73°F?

• City A

(b) Which city had a larger median noon temperature?

• City A

(c) Which city had noon temperatures with a larger interquartile range (IQR)?

• City A

(d) Which city had the highest noon temperature?

• City B

Would you like me to explain any of these observations further?

Related Questions:

1. What is the significance of the interquartile range in a box plot?
2. How do outliers affect a box-and-whisker plot?
3. Why is the median a better measure of central tendency in skewed data?
4. How do you calculate the IQR for a data set?
5. What is the relationship between whiskers and range in a box plot?

Tip:

Always check the position of the median line and the length of the whiskers to determine data symmetry and spread!